Geodesic
Covariant hydrodynamics of Hamiltonian systems
Dalʹnevostočnyj matematičeskij žurnal, Tome 21 (2021) no. 2, pp. 166-179.

Voir la notice de l'article provenant de la source Math-Net.Ru

The theory of hydrodynamic reduction of non-autonomous Hamiltonian mechanics (V. Kozlov, 1983) is presented in the geometric formalism of bundles over the time axis $R$. In this formalism, time is one of the coordinates, not a parameter; the connections describe reference frames and velocity fields of mechanical systems. The equations of the theory are presented in a form that is invariant with respect to time-dependent coordinate transformations and the choice of reference frames. 
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A. I. Gudimenko. Covariant hydrodynamics of Hamiltonian systems. Dalʹnevostočnyj matematičeskij žurnal, Tome 21 (2021) no. 2, pp. 166-179. http://geodesic.mathdoc.fr/item/DVMG_2021_21_2_a3/

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